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Verlag: OmniScriptum
Please note that the content of this book primarily consists of articles
available from Wikipedia or other free sources online.A Bayesian
network, belief network or directed acyclic graphical model is a
probabilistic graphical model that represents a set of random variables
and their conditional independencies via a directed acyclic graph DAG.
For example, a Bayesian network could represent the probabilistic
relationships between diseases and symptoms. Given symptoms, the network
can be used to compute the probabilities of the presence of various
diseases. Formally, Bayesian networks are directed acyclic graphs whose
nodes represent random variables in the Bayesian sense: they may be
observable quantities, latent variables, unknown parameters or
hypotheses. Edges represent conditional dependencies; nodes which are
not connected represent variables which are conditionally independent of
each other. Each node is associated with a probability function that
takes as input a particular set of values for the node's parent
variables and gives the probability of the variable represented by the
node.
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